While often recommended as a strategy to use in order to solve word problems, drawing a diagram is a complex process that requires a good depth of understanding. Many middle school students with learning disabilities (LD) often struggle to use diagrams in an effective and efficient manner. This article presents information for teaching middle school students with LD about diagrams and how to use them to solve word problems.
BaroodyA. J. (2011). Learning: A framework. In FennellF. (Ed.), Achieving fluency: Special education and mathematics (pp. 15–58). Reston, VA: National Council of Teachers of Mathematics.
2.
CarlsonM. P.BloomI. (2005). The cyclic nature of problem solving: An emergent multidimensional problem-solving framework. Educational Studies in Mathematics, 58, 45–75.
3.
GerstenR.BeckmannS.ClarkeB.FoegenA.MarshL.StarJ. R.WitzelD. (2009). Assisting students struggling with mathematics: Response to intervention for elementary and middle schools (NCEE2009-4060). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education. Retrieved from http://ies.ed.gov/ncee/wwc/pdf/practice_guides/rti_math_pg_042109.pdf
4.
MontagueM. (2007). Self-regulation and mathematics instruction. Learning Disabilities Research and Practice, 22, 75–83.
5.
National Research Council. (2001). Adding it up: Helping children learn mathematics. KilpatrickJ.SwaffordJ.FindellB. (Eds.). Washington, DC: National Academy Press, Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education.
6.
PolyaG. (1945). How to solve it: A new aspect of mathematical method. Princeton, NJ: Princeton University Press.
7.
Rittle-JohnsonB.AlibaliM. W. (1999). Conceptual and procedural knowledge of mathematics: Does one lead to the other?Journal of Educational Psychology, 91(1), 175. doi:10.1037/022-0663.91.1.175
8.
SmithS. P. (2003). Representation in school mathematics: Children’s representations of problems. In KilpatrickJ.MartinW. G.SchifterD. (Eds.), A research companion to principles and standards for school mathematics (pp. 263–274). Reston, VA: National Council of Teachers of Mathematics.
9.
van GarderenD. (2006). Teaching visual representation for mathematics problem solving. In MontagueM.JitendraA. (Eds.), Middle school students with mathematics difficulties (pp. 72–88). New York, NY: Guilford Press.
10.
van GarderenD. (2007). Teaching students with LD to use diagrams to solve mathematical word problems. Journal of Learning Disabilities, 40, 540–553. doi:10.1177/00222194070400060501
11.
van GarderenD.MontagueM. (2003). Visual-spatial representation, mathematical problem solving, and students of varying abilities. Learning Disabilities Research and Practice, 18, 246–254. doi:10.1111/1540-5826.00079
12.
van GarderenD.ScheuermannA.JacksonC. (2012). Developing representational ability in mathematics for students with learning disabilities: A content analysis of sixth and seventh grade textbooks. Learning Disability Quarterly, 35(1), 24–38.
13.
van GarderenD.ScheuermannA.JacksonC. (2013). Examining how students with diverse abilities use diagrams to solve mathematics word problems. Learning Disability Quarterly, 36, 145–160. doi:0731948712438558
14.
van GarderenD.ScheuermannA.PochA. (2014). Challenges students with learning disabilities experience when using diagrams as a visualization tool to solve mathematics word problems. ZDM: International Journal on Mathematics Education, 46, 135–149. doi:10.1007/s11858-013-0519-1
15.
VaughnS.WanzekJ.MurrayC. S.RobertsG. (2012). Intensive interventions for students struggling in reading and mathematics: A practice guide. Portsmouth, NH: RMC Research Corporation, Center on Instruction.
